# Eventually simple IAPS

From Groupprops

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ANALOGY: This is an analogue in IAPS of a property encountered in group. Specifically, it is a IAPS property analogous to the group property: simple group

View other analogues of simple group | View other analogues in IAPSs of group properties (OR, View as a tabulated list)

*This article defines a property that can be evaluated for an IAPS of groups*

## Definition

Let be an IAPS of groups. It is said to be **eventually simple** if there exists a such that for all , is a simple group.